关于有些单词我已经标号中文了Find the equation(方程) of a line with each of the following characteristics.1.parallel(平行) to the line y = 3x + 5 and has a y-intercept(y截距) of -12.perpendicular(垂直) to the line y = 1⁄3x + 4 and has an x-intercept(x截距) of 2.
问题描述:
关于有些单词我已经标号中文了
Find the equation(方程) of a line with each of the following characteristics.
1.parallel(平行) to the line y = 3x + 5 and has a y-intercept(y截距) of -1
2.perpendicular(垂直) to the line y = 1⁄3x + 4 and has an x-intercept(x截距) of 2.
答
1.y=3x-1
2.y=-3x+6
答
1.y=3x-1parallel => slope=3y=3x+csubstitute x=0, y=-1 into above equation => c=-12.y=-3x+6perpendicular => slope*1/3=-1 => slope=-3y=-3x+csubstitute y=0, x=2 into above equation => c=6